Radial solutions for a nonlocal boundary value problem
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We consider the boundary value problem for the nonlinear Poisson equation with a nonlocal term Open image in new window , Open image in new window . We prove the existence of a positive radial solution when Open image in new window grows linearly in Open image in new window , using Krasnoselskiiés fixed point theorem together with eigenvalue theory. In presence of upper and lower solutions, we consider monotone approximation to solutions.
KeywordsDifferential Equation Partial Differential Equation Ordinary Differential Equation Functional Equation Point Theorem
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